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The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

In probabilistic seismic hazard analysis (PSHA), the exceedance probability of a ground-motion intensity measure (IM) is typically evaluated. However, in recent years, dynamic response analyses using ground-motion time histories as input…

Geophysics · Physics 2026-04-07 Yuma Matsumoto , Taro Yaoyama , Sangwon Lee , Asako Iwaki , Tatsuya Itoi

A seismic fragility curve expresses the probability of failure of a structure conditional to an intensity measure (IM) derived from seismic signals. When only limited data is available, the practitioner often refers to the probit-lognormal…

Applications · Statistics 2025-12-17 Antoine Van Biesbroeck , Clément Gauchy , Cyril Feau , Josselin Garnier

Fragility curves are commonly used in civil engineering to assess the vulnerability of structures to earthquakes. The probability of failure associated with a prescribed criterion (e.g. the maximal inter-storey drift of a building exceeding…

Applications · Statistics 2017-04-14 C. Mai , K. Konakli , B. Sudret

The computationally expensive estimation of engineering demand parameters (EDPs) via finite element (FE) models, while considering earthquake and parameter uncertainty limits the use of the Performance Based Earthquake Engineering…

Machine Learning · Statistics 2022-06-14 Siddharth S. Parida , Supratik Bose , Megan Butcher , Georgios Apostolakis , Prashant Shekhar

For seismic analysis in engineering structures, it is essential to consider the dynamic responses under seismic excitation, necessitating the description of seismic accelerations. Limit seismics samples lead to incomplete uncertainty…

Computational Engineering, Finance, and Science · Computer Science 2025-05-20 Shizhong Liang , Yuxiang Yang , Chen Li , Feng Wu

Uncertainty quantification seeks to provide a quantitative means to understand complex systems that are impacted by parametric uncertainty. The polynomial chaos method is a computational approach to solve stochastic partial differential…

Numerical Analysis · Mathematics 2017-09-27 Melvin Leok , Gautam Wilkins

This study introduces the long-range Ising model from statistical mechanics to the Performance-Based Earthquake Engineering (PBEE) framework for regional seismic damage analysis. The application of the PBEE framework at a regional scale…

Applications · Statistics 2024-05-24 Sebin Oh , Sang-ri Yi , Ziqi Wang

A methodology for the performance-based seismic risk assessment of classical columns is presented. Despite their apparent instability, classical columns are, in general, earthquake resistant, as proven from the fact that many classical…

Geophysics · Physics 2014-01-06 Ioannis Psycharis , Michalis Fragiadakis , Ioannis Stefanou

Fragility curves are commonly used in civil engineering to estimate the vulnerability of structures to earthquakes. The probability of failure associated with a failure criterion (e.g. the maximal inter-storey drift ratio being greater than…

Applications · Statistics 2015-05-05 Bruno Sudret , Chu Mai , Katerina Konakli

Fragility curves which express the failure probability of a structure, or critical components, as function of a loading intensity measure are nowadays widely used (i) in Seismic Probabilistic Risk Assessment studies, (ii) to evaluate impact…

Machine Learning · Computer Science 2018-10-03 Rémi Sainct , Cyril Feau , Jean-Marc Martinez , Josselin Garnier

Electric power networks are critical lifelines, and their disruption during earthquakes can lead to severe cascading failures and significantly hinder post-disaster recovery. Enhancing their seismic resilience requires identifying and…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Huangbin Liang , Beatriz Moya , Francisco Chinesta , Eleni Chatzi

In this study, we propose a novel surrogate modelling approach to efficiently and accurately approximate the response of complex dynamical systems driven by time-varying Recently, there has been increased interest in assessing the seismic…

Computation · Statistics 2024-05-08 C. Nardin , S. Marelli , O. S. Bursi , B. Sudret , M. Broccardo

As a physical fact, randomness is an inherent and ineliminable aspect in all physical measurements and engineering production. As a consequence, material parameters, serving as input data, are only known in a stochastic sense and thus, also…

Computational Engineering, Finance, and Science · Computer Science 2023-11-22 Hendrik Geisler , Cem Erdogan , Jan Nagel , Philipp Junker

Polynomial chaos expansion (PCE) is a classical and widely used surrogate modeling technique in physical simulation and uncertainty quantification. By taking a linear combination of a set of basis polynomials - orthonormal with respect to…

Machine Learning · Computer Science 2026-04-01 Johannes Exenberger , Sascha Ranftl , Robert Peharz

Recently a likelihood-based methodology has been developed by the Collaboratory for the Study of Earthquake Predictability (CSEP) with a view to testing and ranking seismicity models. We analyze this approach from the standpoint of possible…

Geophysics · Physics 2011-08-19 George Molchan

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

This paper presents a new methodology for structural reliability analysis via stochastic finite element method (SFEM). A novel sample-based SFEM is firstly used to compute structural stochastic responses of all spatial points at the same…

Computational Physics · Physics 2020-08-19 Zhibao Zheng

Estimates of seismic wave speeds in the Earth (seismic velocity models) are key input parameters to earthquake simulations for ground motion prediction. Owing to the non-uniqueness of the seismic inverse problem, typically many velocity…

Engineering and applied science rely on computational experiments to rigorously study physical systems. The mathematical models used to probe these systems are highly complex, and sampling-intensive studies often require prohibitively many…

Methodology · Statistics 2024-06-19 Joy N. Mueller , Khachik Sargsyan , Craig J. Daniels , Habib N. Najm
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